A spectral condition for spectral gap: fast mixing in high-temperature Ising models

Author:

Eldan Ronen,Koehler FredericORCID,Zeitouni Ofer

Funder

H2020 European Research Council

Israel Science Foundation

National Science Foundation

Office of Naval Research

european research council

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis

Reference24 articles.

1. Anari, N., Jain, V., Koehler, F., Pham, H.T., Vuong, T.D.: Entropic independence in high-dimensional expanders: modified log-sobolev inequalities for fractionally log-concave polynomials and the Ising model (2021). arXiv preprint arXiv:2106.04105

2. Anderson, G.W., Guionnet, A., Zeitouni, O.: An Introduction to Random Matrices, vol. 118. Cambridge University Press, Cambridge (2010)

3. Bauerschmidt, R., Bodineau, T.: A very simple proof of the LSI for high temperature spin systems. J. Funct. Anal. 276(8), 2582–2588 (2019)

4. Bordenave, C.: A new proof of Friedman’s second eigenvalue theorem and its extension to random lifts (2015). arXiv preprint arXiv:1502.04482

5. Deshpande, Y., Montanari, A., O’Donnell, R., Schramm, T., Sen, S.: The threshold for SDP-refutation of random regular NAE-3SAT. In: Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, pp. 2305–2321. SIAM (2019)

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